GCD of 367, 514, 283, 470 Calculator

Given Input numbers are 367, 514, 283, 470

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 367, 514, 283, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 514, 283, 470 is 1.

Therefore, GCD of numbers 367, 514, 283, 470 is 1

Given Input Data is 367, 514, 283, 470

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 367 is 367

Prime Factorization of 514 is 2 x 257

Prime Factorization of 283 is 283

Prime Factorization of 470 is 2 x 5 x 47

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(367, 514) = 188638

GCD(367, 514) = ( 367 x 514 ) / 188638

GCD(367, 514) = 188638 / 188638

GCD(367, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 283

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 283) = 283

GCD(1, 283) = ( 1 x 283 ) / 283

GCD(1, 283) = 283 / 283

GCD(1, 283) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 367, 514, 283, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 692, 956, 173
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• GCD of 163, 969, 719, 693
• GCD of 464, 272, 270, 363
• GCD of 937, 377, 261, 655

1. What is the GCD of 367, 514, 283, 470?

GCD of 367, 514, 283, 470 is 1

2. Where do I get the detailed procedure to find GCD of 367, 514, 283, 470?

You can find a detailed procedure to find GCD of 367, 514, 283, 470 on our page.

3. How to find GCD of 367, 514, 283, 470 on a calculator?

You can find the GCD of 367, 514, 283, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.